Pith Number

pith:HBSBPXEJ

pith:2019:HBSBPXEJM76SJUY4SD5BNZ7TDS

not attested not anchored not stored refs pending

Multilinear fractional Calder\'on-Zygmund operators on weighted Hardy spaces

David Cruz-Uribe, Hanh Nguyen, Kabe Moen

arxiv:1903.01593 v1 · 2019-03-04 · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HBSBPXEJM76SJUY4SD5BNZ7TDS}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-17T23:52:00.229019Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

386417dc8967fd24d31c90fa16e7f31cb93d7ba932415aa0a6a35394500a5db1

Aliases

arxiv: 1903.01593 · arxiv_version: 1903.01593v1 · doi: 10.48550/arxiv.1903.01593 · pith_short_12: HBSBPXEJM76S · pith_short_16: HBSBPXEJM76SJUY4 · pith_short_8: HBSBPXEJ

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/HBSBPXEJM76SJUY4SD5BNZ7TDS \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 386417dc8967fd24d31c90fa16e7f31cb93d7ba932415aa0a6a35394500a5db1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "686ac8a7a95f390b16f2e42f7f1b935efb36261ad567f6aee7472353d0e3e843",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-03-04T23:56:19Z",
    "title_canon_sha256": "21bb29046f881da981e06077951330517d72eff35c16bb61b77d36bee2fd5b13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.01593",
    "kind": "arxiv",
    "version": 1
  }
}